Shape Parameter

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The four parameters [k₀, k₁, k₂, φ] that define the shape of an exponential sinusoid trajectory. k₀ sets the distance scale, k₁ controls oscillation amplitude, k₂ controls angular frequency, and φ sets the phase. When departure velocity is known, the degrees of freedom reduce to the single parameter k₂, which is searched to target the destination body. In the paper's multirevolution Lambert problem formulation, k₂ serves as a decision variable in the outer optimization loop.

Application Value

形状参数是地月空间研究的基础概念，为理解更复杂的航天器动力学问题提供了理论支撑 在实际工程应用中，形状参数的准确计算和分析对于任务成功至关重要 掌握形状参数的概念有助于工程师进行轨道设计和任务规划 形状参数为航天器轨道力学研究提供了基本框架，是进一步学习高级概念的基础

Related Concepts

• Bang推力剖面
• 春分点
• L1同伦法

References

• Izzo - 2006 - Lambert's problem for exponential sinusoids